-10x+18=-3x(5x-7)+5x

Solution for -10x+18=-3x(5x-7)+5x equation:

-10x+18=-3x(5x-7)+5x

We move all terms to the left:

-10x+18-(-3x(5x-7)+5x)=0


We calculate terms in parentheses: -(-3x(5x-7)+5x), so:

-3x(5x-7)+5x

We add all the numbers together, and all the variables

5x-3x(5x-7)

We multiply parentheses

-15x^2+5x+21x

We add all the numbers together, and all the variables

-15x^2+26x

Back to the equation:

-(-15x^2+26x)


We get rid of parentheses

15x^2-26x-10x+18=0

We add all the numbers together, and all the variables

15x^2-36x+18=0

a = 15; b = -36; c = +18;
Δ = b2-4ac
Δ = -362-4·15·18
Δ = 216
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{216}=\sqrt{36*6}=\sqrt{36}*\sqrt{6}=6\sqrt{6}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-36)-6\sqrt{6}}{2*15}=\frac{36-6\sqrt{6}}{30}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-36)+6\sqrt{6}}{2*15}=\frac{36+6\sqrt{6}}{30}
$